Not sure what you're trying to show here. Maybe that this is a jobless recovery, or that there hasn't been a recovery yet? Whatever it is it's not good.
Those are just public sector jobs. It's showing that the government hired more people during previous recessions, while it layed them off during the 2007 recession.
It does say "share of total jobs" which I believe is misleading. With the huge number of full time jobs going to part time, there may be more jobs, making the increased in government jobs a smaller percentage of total jobs. The sequester has definitely decreased the number of contract gov jobs, so that probably plays into it, but to say there are fewer people working for the government is probably not true.
It says "share of total jobs", but it only is talking about government jobs. The dashed line is where each of those recessions ended, and the chart is displaying the total percentage of government jobs in relation to the number of government jobs at the end of the recession. That is why every line is at 100% at the dashed line.
It looks like Reagan cut jobs, then started hiring workers back to get out of his recession. Bush Sr. just kept hiring workers, sort of a "business as usual" approach. It looks like we hired a bunch of government workers for W's 2001 recession, and chose to freeze hiring for the 2007 recession. Obama has made massive cuts, but that probably has more to do with his inability to work with Congress on getting a budget passed than it does his strategy to revive the economy.
Ok, you're right. But, the graph is still a bit misleading. The last column below is the total number of federal employees (thousands).
https://www.opm.gov/policy-data-oversight/data-analysis-documentation/federal-employment-reports/historical-tables/total-government-employment-since-1962/Year
2000 2,639 1,426 63 4,129
2001 2,640 1,428 64 4,132
2002 2,630 1,456 66 4,152
2003 2,666 1,478 65 4,210
2004 2,650 1,473 64 4,187
2005 2,636 1,436 65 4,138
2006 2,637 1,432 63 4,133
2007 2,636 1,427 63 4,127
2008 2,692 1,450 64 4,206
2009 2,774 1,591 66 4,430
2010 2,776 1,602 64 4,443
2011 2,756 1,583 64 4,403
2012 2,697 1,551 64 4,312